What is the derivative of cos((1-x^2^2)) ?

The derivative of cos((1-x^2^2)) is 4xsin((1-x^2)^2)(1-x^2)

What is the first derivative of cos((1-x^2^2)) ?

The first derivative of cos((1-x^2^2)) is 4xsin((1-x^2)^2)(1-x^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} (cos ((1 - x^{2})^{2}))

4 x sin ((1 - x^{2})^{2}) (1 - x^{2})

Solution steps

\frac{d}{d x} (cos ((1 - x^{2})^{2}))

Apply the chain rule:

- sin ((1 - x^{2})^{2}) \frac{d}{d x} ((1 - x^{2})^{2})

= - sin ((1 - x^{2})^{2}) \frac{d}{d x} ((1 - x^{2})^{2})

\frac{d}{d x} ((1 - x^{2})^{2}) = - 4 x (1 - x^{2})

= - sin ((1 - x^{2})^{2}) (- 4 x (1 - x^{2}))

Simplify

= 4 x sin ((1 - x^{2})^{2}) (1 - x^{2})

y = x^{2}, y = 4 - x^{2}

\frac{d}{d x} (\frac{x}{5 + x})

\frac{d}{d x} (10 - x)

x \to 0 lim (\frac{2 - 2 cos ( x )}{e ^{x} - x - 1})

\int \frac{( ln ( x ) )}{x ^{2}} d x

What is the derivative of cos((1-x^2^2)) ?
The derivative of cos((1-x^2^2)) is 4xsin((1-x^2)^2)(1-x^2)
What is the first derivative of cos((1-x^2^2)) ?
The first derivative of cos((1-x^2^2)) is 4xsin((1-x^2)^2)(1-x^2)